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Finding the Fourth Proportional to 83,668.19, 125,503.91 and 33,065.87

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Solution

The fourth proportional to 83,668.19, 125,503.91 and 33,065.87 is: 49,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668.19 : 125,503.91 = 33,065.87 : x
  2. Step 2: Convert to fraction form
    83,668.19/125,503.91 = 33,065.87/x
  3. Step 3: Cross multiply
    83,668.19x = 125,503.91 × 33,065.87
  4. Step 4: Simplify right side
    83,668.19x = 4,149,895,972.55
  5. Step 5: Solve for x
    x = 4,149,895,972.55/83,668.19
  6. Step 6: Final answer
    x = 49,599.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.